Suppose that it is known that 2% of the items produced by a particular machine are defective in some way, and that we will choose a random sample of exactly 15 parts made by this machine. a. What proportion of this machine's output is non-defective? b. What is the expected number of non-defective items, out of the 15 we select? c. What is the probability that exactly 14 of the 15 items is non-defective, GIVEN THAT more than 13 are non-defective?
Suppose that it is known that 2% of the items produced by a particular machine are defective in some way, and that we will choose a random sample of exactly 15 parts made by this machine. a. What proportion of this machine's output is non-defective? b. What is the expected number of non-defective items, out of the 15 we select? c. What is the probability that exactly 14 of the 15 items is non-defective, GIVEN THAT more than 13 are non-defective?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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![Suppose that it is known that 2% of the items produced by a particular machine are
defective in some way, and that we will choose a random sample of exactly 15 parts
made by this machine.
a. What proportion of this machine's output is non-defective?
b. What is the expected number of non-defective items, out of the 15 we select?
c. What is the probability that exactly 14 of the 15 items is non-defective, GIVEN
THAT more than 13 are non-defective?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ff0df6c-664c-4800-82b8-dd587dc2f088%2Fcfd147a8-219c-401e-942a-6891de0c8ddb%2F59jmnl.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that it is known that 2% of the items produced by a particular machine are
defective in some way, and that we will choose a random sample of exactly 15 parts
made by this machine.
a. What proportion of this machine's output is non-defective?
b. What is the expected number of non-defective items, out of the 15 we select?
c. What is the probability that exactly 14 of the 15 items is non-defective, GIVEN
THAT more than 13 are non-defective?
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